Algebra 1 Online!
Henrico County Public Schools, Virginia
Expressions and Operations

Equations and Inequalities

Functions

Statistics

SOL Review Materials
A.2b
The student will perform operations on polynomials, including
b)   adding, subtracting, multiplying, and dividing polynomials.

Essential Knowledge and Skills 
  • Model sums, differences, products, and quotients of polynomials with concrete objects and their related pictorial representations.
  • Relate concrete and pictorial manipulations that model polynomial operations to their corresponding symbolic representations.
  • Find sums and differences of polynomials.
  • Find products of polynomials.  The factors will have no more than five total terms (i.e. (4x+2)(3x+5) represents four terms and (x+1)(2x2 +x+3) represents five terms).
  • Find the quotient of polynomials, using a monomial or binomial divisor, or a completely factored divisor.
Essential Understandings
  • Operations with polynomials can be represented concretely, pictorially, and symbolically.
  • Polynomial expressions can be used to model real-world situations.
  • The distributive property is the unifying concept for polynomial operations.
Vertical Articulation
  1. SOL 7.16 - apply properties w/ real numbers: a) commutative and associative properties for add/multi; b) distributive property; c) add/multi identity properties; d) add/multi inverse properties; e) multi property of zero
  2. SOL 8.15 - c) identify properties of operations used to solve equations
  3. SOL AII.3 - perform operations on complex numbers/express results in simplest form using patterns of the powers of i/ID field properties for complex numbers
Instructional Materials
  1. VDOE ESS Lesson: Adding and Subtracting Polynomials Using Algebra Tiles - Expressions and Operations (PDF) - Adding and subtracting polynomials (Word)
  2. Notes: Adding and Subtracting Polynomials (flipchart)
  3. Notes: Adding and Subtracting Polynomials (ppt)
Real World Lessons
Practice
  1. VDOE ESS: Adding and Subtracting Polynomials Using Algebra Tiles (pdf)
  2. Worksheet: Adding and Subtracting Polynomials CW (doc)
  3. Worksheet: Adding and Subtracting Polynomials HW (doc)
  4. ExamView Quiz: Adding and Subtracting Polynomials
  5. Prentice Hall Quiz
Self-Assessments
Skills
  1. JMU Pivotal Question: Adding Polynomials (doc)
Videos
  1. Video: PH Adding Polynomials
  2. Video: PH Subtracting Polynomials
Explore Learning
  1. Addition of Polynomials - Activity A - Add polynomials using an area model. Use step-by-step feedback to diagnose any problems in the polynomial models and the polynomial addition.
Websites
  1. Interactive Notes: Adding and Subtracting Polynomials - lessons and practice problems at Regentsprep.org
Old Website Links
Common Core Standards
7.EE.1
8.EE.1
N-RN.1
N-RN.2
A-SSE.2
A-SSE.3a
A-SSE.3b
A-SSE.3c
A-APR.1
A-APR.4
F-IF.8a